Title : 
Analytical Method for Computation of Phase-Detector Characteristic
         
        
            Author : 
Leonov, G.A. ; Kuznetsov, N.V. ; Yuldashev, M.V. ; Yuldashev, R.V.
         
        
            Author_Institution : 
St.-Petersburg State Univ., St. Petersburg, Russia
         
        
        
        
        
        
        
            Abstract : 
Discovery of undesirable hidden oscillations, which cannot be found by simulation, in models of phase-locked loop (PLL) showed the importance of development and application of analytical methods for the analysis of such models. Approaches to a rigorous nonlinear analysis of analog PLL with multiplier phase detector (classical PLL) and linear filter are discussed. An effective analytical method for computation of multiplier/mixer phase-detector characteristics is proposed. For various waveforms of high-frequency signals, new classes of phase-detector characteristics are obtained, and dynamical model of PLL is constructed.
         
        
            Keywords : 
phase detectors; phase locked loops; analog PLL; high frequency signal; linear filter; multiplier phase detector; multiplier/mixer phase detector characteristics; phase locked loop; rigorous nonlinear analysis; undesirable hidden oscillations; Analytical models; Computational modeling; Detectors; Handheld computers; Integrated circuit modeling; Oscillators; Phase locked loops; Analog integrated circuits; nonlinear analysis; phase-detector characteristic; phase-locked loop (PLL);
         
        
        
            Journal_Title : 
Circuits and Systems II: Express Briefs, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TCSII.2012.2213362